Cambridge IGCSE Mathematics (9-1) (UK only) 0626 — 2018 Oct/Nov Paper 3 · Variant 0

* 5 6 2 3 0 9 8 6 4 7 * This document consists of 15 printed pages and 1 blank page. DC (SC/CT) 153470/1 © UCLES 2018 [Turn over MATHEMATICS 0626/03 Paper 3 (Core) October/November 2018 1 hour 30 minutes Candidates answer on the Question Paper. Additional Materials: Geometrical instruments Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. CALCULATORS MAY NOT BE USED IN THIS PAPER. If working is required for any question it must be shown below that question. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 84. This syllabus is regulated for use in England as a Cambridge International Level 1/Level 2 (9–1) Certificate. Cambridge International Examinations Cambridge International General Certificate of Secondary Education (9–1)

2 0626/03/O/N/18 © UCLES 2018 1 Work out the temperature that is 5 degrees higher than -3 °C. …°C [1] 2 (a) Find the sum of 2381 and 247. … [1] (b) Write 2381 correct to the nearest 100. … [1] 3 Write 0.28 as a fraction. Give your answer in its simplest form. … [2] 4 A train leaves a station at 07 24. At 09 48, the train has been travelling for half of its journey time. Work out the time the journey ends. … [2]

3 0626/03/O/N/18 © UCLES 2018 [Turn over 5 A group of 18 boys were asked to choose their favourite sport. The results are shown below. Rugby Tennis Football Athletics Athletics Tennis Athletics Rugby Tennis Football Tennis Athletics Football Rugby Football Tennis Football Football Complete the table for these results. Favourite sport Tally Frequency Athletics Football Rugby Tennis [2] 6 5 4 14 6 12 1 (a) For these six numbers, work out (i) the range, … [1] (ii) the median, … [2] (iii) the mean. … [2] (b) Explain why there is no mode for the six numbers. … [1]

4 0626/03/O/N/18 © UCLES 2018 7 By rounding each number correct to 1 significant figure, estimate the value of . . . 4 23 71 2 48 9 - . … [2] 8 = < > Use the correct symbol from the list above to complete each statement. .0 3o … 30% 18 17 … 19 17 0.1 … 20 2 [3] 9 Insert one pair of brackets into each calculation to make it correct. (a) 16 - 3 + 2 - 7 = 4 [1] (b) 7 + 3 # 6 + 8 ' 2 = 28 [1]

5 0626/03/O/N/18 © UCLES 2018 [Turn over 10 NOT TO SCALE 2x° 80° 5x° 3x° The diagram shows a quadrilateral. Work out the value of x. x = … [4] 11 I think of a starting number. I multiply it by 3, then I add 20, then I divide by 2 to obtain my answer. (a) My starting number is -2, find my answer. … [2] (b) My answer is 16, find my starting number. … [2]

6 0626/03/O/N/18 © UCLES 2018 12 Use a straight edge and compasses only for this question. Leave in all your construction arcs. A B C Construct and shade the region inside triangle ABC which is • closer to C than to A and • closer to side AB than to side AC. [5]

7 0626/03/O/N/18 © UCLES 2018 [Turn over 13 3 5 AB = - e o 7 2 BC = e o (a) Work out AB BC + . f p [1] (b) Write down BA. f p [1] 14 (a) Convert 51 000 cm3 to litres. … litres [1] (b) Convert 8 m2 to cm2. …cm2 [1] 15 Evaluate. (a) 43 … [1] (b) 9 4 … [1] (c) 20 … [1]

8 0626/03/O/N/18 © UCLES 2018 16 Work out the fraction that is exactly halfway between the two fractions 4 3 and 5 4 . … [3] 17 The surface area of a cube is 54 cm2. Find the volume of this cube. …cm3 [3]

9 0626/03/O/N/18 © UCLES 2018 [Turn over 18 Rearrange this formula to make w the subject. t w 3 2 = + w = … [2] 19 These two triangles are similar. y cm x cm 18 cm 4 cm 8 cm 12 cm NOT TO SCALE Find the value of x and the value of y. x = … y = … [3]

10 0626/03/O/N/18 © UCLES 2018 20 Here are two bags of bird seed. £4.80 5.5 kg Large bag £3.65 4.2 kg Small bag Janice and Tamara are trying to work out which bag of bird seed is better value. The answers to their calculations are correct. (a) Tamara writes: 3.65 4.2 = 0.8690 and 4.80 5.5 = 0.8727 . As 0.8727 is the bigger number the large bag is better value. Tamara has made the wrong decision. Explain how her calculations show that the small bag is better value. … … [1] (b) Janice writes: 4.2 3.65 = 1.1507 and 5.5 4.80 = 1.1458 . As 1.1507 is the bigger number the small bag is better value. Janice has made the correct decision. Explain why the bigger number is better value. … … [1]

11 0626/03/O/N/18 © UCLES 2018 [Turn over 21 (a) Solve these simultaneous equations. 3x - 6y = 9 5x + 2y = 21 x = … y = … [3] (b) Here is another pair of simultaneous equations. 5x - 2y = 11 5x - 2y = 35 Give a reason why these simultaneous equations cannot be solved. … … [1] (c) 3x + 4y = 12 6x + 8y = 24 Here are three correct solutions to these equations x = 0, y = 3 and x = 4, y = 0 and x = 2, y = 1.5 Give a reason why there is more than one correct solution. … … [1]

12 0626/03/O/N/18 © UCLES 2018 22 The probability that Marc drives to work on any day is 3 2 . The probability that it rains on any day is 5 1 . (a) Complete the tree diagram. … … … … … Does not rain Rains Does not rain Rains Does not drive to work Drives to work 2 3 [2] (b) Work out the probability that one day Marc drives to work and it does not rain. … [2] 23 Expand and simplify. r r 4 2 3 3 1 5 + + - ^ ^ h h … [2]

13 0626/03/O/N/18 © UCLES 2018 [Turn over 24 5 cm 6 cm NOT TO SCALE b cm The area of this trapezium is 39 cm2. Find the value of b. b = … [3] 25 The width, w cm, of an oven is 60 cm correct to the nearest centimetre. Complete this statement about the value of w. … w 1 G … [2] 26 Work out 64 3 2 ` j . … [2]

14 0626/03/O/N/18 © UCLES 2018 27 The interior angle of a regular polygon is 150°. Show that the polygon has 12 sides. [2] 28 NOT TO SCALE This shape is made from four straight edges and four arcs. Each straight edge has length 3 cm. Each arc is a quarter of the circumference of a circle of radius 5 cm. Find the perimeter of this shape. Give your answer in terms of r. … cm [3]

15 0626/03/O/N/18 © UCLES 2018 29 Solve ( )x 5 55 7 = - . x = … [3] 30 A travel company asked 60 people where they went on holiday last year. • 30 people went on holiday in the UK • 11 people went on holiday both in the UK and abroad • 6 people did not go on holiday K = {people who went on holiday in the UK} A = {people who went on holiday abroad} (a) Complete the Venn diagram to show this information. 11 K A [2] (b) Find ( ) n A K , . … [1]

16 0626/03/O/N/18 © UCLES 2018 BLANK PAGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.